메뉴 건너뛰기




Volumn 32, Issue 4, 2010, Pages 2235-2254

Efficient parallel AMG methods for approximate solutions of linear systems in CFD applications

Author keywords

Algebraic multigrid; Finite volumes; Fluid dynamics; Pressure velocity coupling

Indexed keywords

ALGEBRA; CLUSTERING ALGORITHMS; LINEAR SYSTEMS;

EID: 77955706091     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/090774860     Document Type: Article
Times cited : (11)

References (23)
  • 1
    • 53249130071 scopus 로고    scopus 로고
    • On parallel numerical algorithms for simulating industrial filtration problems
    • R. ČIEGIS, O. ILIEV, AND Z. LAKDAWALA, On parallel numerical algorithms for simulating industrial filtration problems, Comput. Methods Appl. Math., 7 (2007), pp. 118-134.
    • (2007) Comput. Methods Appl. Math. , vol.7 , pp. 118-134
    • Čiegis, R.1    Iliev, O.2    Lakdawala, Z.3
  • 2
    • 0027611226 scopus 로고
    • A collocated finite volume method for predicting flows at all speeds
    • I. DEMIRDŽIĆ, Ž. Lilek, AND M. PERIĆ, A collocated finite volume method for predicting flows at all speeds, Internat. J. Numer. Methods Fluids, 27 (1993), pp. 1029-1050.
    • (1993) Internat. J. Numer. Methods Fluids , vol.27 , pp. 1029-1050
    • Demirdžić, I.1    Lilek, Ž.2    Perić, M.3
  • 3
    • 33645345839 scopus 로고    scopus 로고
    • Reducing complexity in parallel algebraic multigrid preconditioners
    • H. DE STERCK, U. M. YANG, AND J. J. HEYS, Reducing complexity in parallel algebraic multigrid preconditioners, SIAM J. Matrix Anal. Appl., 27 (2006), pp. 1019-1039.
    • (2006) SIAM J. Matrix Anal. Appl. , vol.27 , pp. 1019-1039
    • De Sterck, H.1    Yang, U.M.2    Heys, J.J.3
  • 5
    • 0036532956 scopus 로고    scopus 로고
    • BoomerAMG: A parallel algebraic multigrid solver and preconditioner
    • V. E. HENSON AND U. M. YANG, BoomerAMG: a parallel algebraic multigrid solver and preconditioner, Appl. Numer. Math., 41 (2001), pp. 155-177.
    • (2001) Appl. Numer. Math. , vol.41 , pp. 155-177
    • Henson, V.E.1    Yang, U.M.2
  • 6
    • 77955109888 scopus 로고    scopus 로고
    • AMG for linear systems in engine flow simulations
    • PPAM, Wroclaw, Poland, September 13-16, 2009, Proceedings, Lect. Notes Comput. Sci. 6068, R. Wyrzykowski, J. Dongarra, K. Karczewski, and J. Wasniewski, eds., Springer Verlag, Berlin, 2010
    • M. EMANS, AMG for linear systems in engine flow simulations, in Parallel Processing and Applied Mathematics, Part II: 8th International Conference, PPAM 2009, Wroclaw, Poland, September 13-16, 2009, Proceedings, Lect. Notes Comput. Sci. 6068, R. Wyrzykowski, J. Dongarra, K. Karczewski, and J. Wasniewski, eds., Springer Verlag, Berlin, 2010, pp. 350-360.
    • (2009) Parallel Processing and Applied Mathematics, Part II: 8th International Conference , pp. 350-360
    • Emans, M.1
  • 7
    • 77953131795 scopus 로고    scopus 로고
    • Performance of parallel AMG-preconditioners in CFD-codes for weakly compressible flows
    • M. EMANS, Performance of parallel AMG-preconditioners in CFD-codes for weakly compressible flows, Parallel Comput., 36 (2010), pp. 326-338.
    • (2010) Parallel Comput. , vol.36 , pp. 326-338
    • Emans, M.1
  • 8
    • 84886852494 scopus 로고    scopus 로고
    • A library of high performance preconditioners
    • P. M. A. Sloot, C. J. K. Tan, J. J. Dongarra, A. G. Hoekstra, eds., Springer Verlag, Berlin
    • R. D. FALGOUT AND U. M. YANG, A library of high performance preconditioners, in Computational Science-ICCS 2002 Part III, Lect. Notes Comput. Sci., 2331, P. M. A. Sloot, C. J. K. Tan, J. J. Dongarra, A. G. Hoekstra, eds., Springer Verlag, Berlin, 2002, pp. 632-641.
    • (2002) Computational Science-ICCS 2002 Part III, Lect. Notes Comput. Sci. , vol.2331 , pp. 632-641
    • Falgout, R.D.1    Yang, U.M.2
  • 9
    • 33745210525 scopus 로고    scopus 로고
    • Pursuing scalability for hypre's conceptual interfaces
    • R. D. FALGOUT, J. E. JONES, AND U. M. YANG, Pursuing scalability for hypre's conceptual interfaces, ACM Trans. Math. Software, 81 (2005), pp. 326-350.
    • (2005) ACM Trans. Math. Software , vol.81 , pp. 326-350
    • Falgout, R.D.1    Jones, J.E.2    Yang, U.M.3
  • 10
    • 33750818187 scopus 로고    scopus 로고
    • An introduction to algebraic multigrid
    • R. D. FALGOUT, An introduction to algebraic multigrid, Comput. Sci. Eng., 8 (2006), pp. 24-33.
    • (2006) Comput. Sci. Eng. , vol.8 , pp. 24-33
    • Falgout, R.D.1
  • 14
    • 21344472759 scopus 로고    scopus 로고
    • Two-level preconditioner with small coarse-grid appropriate for unstructured meshes
    • J. KŘíŽKOVá AND P. VANĚK, Two-level preconditioner with small coarse-grid appropriate for unstructured meshes, Numer. Linear Algebra Appl., 3 (1996), pp. 255-274.
    • (1996) Numer. Linear Algebra Appl. , vol.3 , pp. 255-274
    • Křížková, J.1    Vaněk, P.2
  • 16
    • 77955681191 scopus 로고    scopus 로고
    • An aggregation-based algebraic multigrid method
    • Y. NOTAY, An aggregation-based algebraic multigrid method, Electron. Trans. Numer. Anal., 37 (2010), pp. 123-146.
    • (2010) Electron. Trans. Numer. Anal. , vol.37 , pp. 123-146
    • Notay, Y.1
  • 18
    • 0020844260 scopus 로고
    • Numerical study of the turbulent flow past an airfoil with trailing edge separation
    • C. M. RHIE AND W. L. CHOW, Numerical study of the turbulent flow past an airfoil with trailing edge separation, AIAA J., 21 (1983), pp. 1525-1532.
    • (1983) AIAA J. , vol.21 , pp. 1525-1532
    • Rhie, C.M.1    Chow, W.L.2
  • 19
    • 77955696029 scopus 로고    scopus 로고
    • Solving reservoir simulation equations
    • Abu Dhabi, United Arab Emirates
    • K. STüBEN, Solving Reservoir Simulation Equations, in 9th International Forum on Reservoir Simulation, Abu Dhabi, United Arab Emirates, 2007; http://www.scai.fraunhofer.de/fileadmin/download/publikationen/Paper-AD- 040907pdf.
    • (2007) 9th International Forum on Reservoir Simulation
    • Stüben, K.1
  • 21
    • 0030388574 scopus 로고    scopus 로고
    • Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
    • P. VANĚK, M. BREZINA, AND J. MANDEL, Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems, Computing, 56 (1996), pp. 179-196.
    • (1996) Computing , vol.56 , pp. 179-196
    • Vaněk, P.1    Brezina, M.2    Mandel, J.3
  • 22
    • 10044254651 scopus 로고    scopus 로고
    • On the use of relaxation parameters in hybrid smoothers
    • U. M. YANG, On the use of relaxation parameters in hybrid smoothers, Numer. Linear Algebra Appl., 11 (2004), pp. 155-172.
    • (2004) Numer. Linear Algebra Appl. , vol.11 , pp. 155-172
    • Yang, U.M.1
  • 23
    • 84880483354 scopus 로고    scopus 로고
    • Parallel algebraic multigrid methods-high performance preconditioners
    • Lect. Notes Comput. Sci. Eng, A. M. Bruaset and A. Tweiter, eds., Springer Verlag, Berlin
    • U. M. YANG, Parallel algebraic multigrid methods-high performance preconditioners, in Numerical Solutions of Partial Differential Equations on Parallel Computers, Lect. Notes Comput. Sci. Eng. 51, A. M. Bruaset and A. Tweiter, eds., Springer Verlag, Berlin, 2006, pp. 209-236.
    • (2006) Numerical Solutions of Partial Differential Equations on Parallel Computers , vol.51 , pp. 209-236
    • Yang, U.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.